Answer:
Dh/dt = 0.082 ft/min
Step-by-step explanation:
As a perpendicular cross section of the trough is in the shape of an isosceles triangle the trough has a circular cone shape wit base of 1 feet and height h = 2 feet.
The volume of a circular cone is:
V(c) = 1/3 * π*r²*h
Then differentiating on both sides of the equation we get:
DV(c)/dt = 1/3* π*r² * Dh/dt (1)
We know that DV(c) / dt is 1 ft³ / 5 min or 1/5 ft³/min
and we are were asked how fast is the water rising when the water is 1/2 foot deep. We need to know what is the value of r at that moment
By proportion we know
r/h ( at the top of the cone 0,5/ 2) is equal to r/0.5 when water is 1/2 foot deep
Then r/h = 0,5/2 = r/0.5
r = (0,5)*( 0.5) / 2 ⇒ r = 0,125 ft
Then in equation (1) we got
(1/5) / 1/3* π*r² = Dh/dt
Dh/dt = 1/ 5*0.01635
Dh/dt = 0.082 ft/min
Answer is: Irrational because if the answer doesn’t repeat for an example 0.392827263, it’s irrational if it does repeat like this 0.3434343434 it’s rational! Hoped this helped!!
Target: ratio of pizza places / person < 0.01
<span>The
population of 15 blocks of the north side of town is 221 people per
block, but there are already 32 pizza places in the area.
population = 15*221 = 3,315
ratio: 32 pizza places / 3315 people = 0.0097 pizza places per person
Which indeed is less than 0.01 => this area is good for their purpose.
The population
of 22 blocks of the south area is 150 people per block, and there are
28 pizza places in the area.</span>
population: 22*150 = 3300
ratio: 28 pizza places / 3300 people = 0.00085 which is also less than 0.01
Both places meet the target of less than 0.01 places per person, but the south area seems better than north area.
Answer:
B AND B Because they are the only awnsers that make grammatical sense.
Answer: 8327
Step-by-step explanation:
The arithmetic mean of a data is given by :_
Given : For the most recent seven years, the U.S. Department of Education reported the following number of bachelor's degrees awarded in computer science: 4,033; 5,652; 6,407; 7,201; 8,719; 11,154; 15,121.
Then, the annual arithmetic mean number of degrees awarded will be :-
Hence, the annual arithmetic mean number of degrees awarded = 8327
